Information on Result #1421353
Linear OOA(498, 1044321, F4, 2, 12) (dual of [(1044321, 2), 2088544, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(498, 1044321, F4, 12) (dual of [1044321, 1044223, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(498, 1048619, F4, 12) (dual of [1048619, 1048521, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(451, 1048576, F4, 7) (dual of [1048576, 1048525, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(498, 522160, F4, 3, 12) (dual of [(522160, 3), 1566382, 13]-NRT-code) | [i] | OOA Folding | |